%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ANA013-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:50:37 AM UTC 2026
% Result : Unsatisfiable 9.32s 2.88s
% Output : CNFRefutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$uc','t$ub'),'c$uHOL$uOabs'('v$uf'('v$ux'(X0)),'t$ub'),'t$ub'),'c$utimes'(X0,'c$uHOL$uOabs'('v$uf'('v$ux'(X0)),'t$ub'),'t$ub'),'t$ub') ).
cnf(tfree_tcs,negated_conjecture,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub') ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( 'c$ulessequals'(X1,X1,X0)
| ~ 'class$uOrderings$uOorder'(X0) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( 'class$uOrderings$uOorder'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ) ).
cnf(c0,plain,
~ 'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$uc','t$ub'),'c$uHOL$uOabs'('v$uf'('v$ux'(X0)),'t$ub'),'t$ub'),'c$utimes'(X0,'c$uHOL$uOabs'('v$uf'('v$ux'(X0)),'t$ub'),'t$ub'),'t$ub'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub'),
inference(clausification,[status(esa)],[tfree_tcs]) ).
cnf(c2,plain,
( 'c$ulessequals'(X1,X1,X0)
| ~ 'class$uOrderings$uOorder'(X0) ),
inference(clausification,[status(esa)],[cls_Orderings_Oorder__class_Oaxioms__1_0]) ).
cnf(c3,plain,
( 'class$uOrderings$uOorder'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ),
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_44]) ).
cnf(d0,plain,
~ 'class$uOrderings$uOorder'('t$ub'),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'class$uOrderings$uOorder'('t$ub'),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA013-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.60 % Computer : n015.cluster.edu
% 0.15/0.60 % Model : x86_64 x86_64
% 0.15/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.60 % Memory : 8046.5625MB
% 0.15/0.60 % OS : Linux 6.8.0-71-generic
% 0.15/0.60 % CPULimit : 300
% 0.15/0.60 % WCLimit : 300
% 0.15/0.60 % DateTime : Sat Sep 26 22:07:30 UTC 2026
% 0.15/0.61 % CPUTime :
% 0.15/0.61 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.32/2.88 % SZS status Unsatisfiable for theBenchmark.p
% 9.32/2.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------